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Finding the Fourth Proportional to 178,667.77, 267,960.73 and 106,641

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Solution

The fourth proportional to 178,667.77, 267,960.73 and 106,641 is: 159,937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,667.77 : 267,960.73 = 106,641 : x
  2. Step 2: Convert to fraction form
    178,667.77/267,960.73 = 106,641/x
  3. Step 3: Cross multiply
    178,667.77x = 267,960.73 × 106,641
  4. Step 4: Simplify right side
    178,667.77x = 28,575,600,207.93
  5. Step 5: Solve for x
    x = 28,575,600,207.93/178,667.77
  6. Step 6: Final answer
    x = 159,937.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.